Atkin-Lehner |
2+ 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
109800q |
Isogeny class |
Conductor |
109800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
219648 |
Modular degree for the optimal curve |
Δ |
-3151019977200 = -1 · 24 · 317 · 52 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 5 -5 1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,285,-85385] |
[a1,a2,a3,a4,a6] |
j |
8779520/10805967 |
j-invariant |
L |
1.4859588901156 |
L(r)(E,1)/r! |
Ω |
0.37148973225068 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36600bb1 109800cf1 |
Quadratic twists by: -3 5 |